A033143 - OEIS

A033143

Base-7 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0.

1, 7, 49, 344, 2408, 16856, 117993, 825951, 5781657, 40471600, 283301200, 1983108400, 13881758801, 97172311607, 680206181249, 4761443268744, 33330102881208, 233310720168456, 1633175041179193, 11432225288254351, 80025577017780457, 560179039124463200, 3921253273871242400

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (7,0,1,-7).

FORMULA

a(n) = 7*a(n-1) + a(n-3) - 7*a(n-4).

G.f.: x / ((1-x)*(1-7*x)*(1+x+x^2)). - Colin Barker, Dec 24 2015

PROG

(PARI) Vec(x/((1-x)*(1-7*x)*(1+x+x^2)) + O(x^30)) \\ Colin Barker, Dec 24 2015

CROSSREFS